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Simplifying 4(2x + -3) + -1(x + 1) = 0 Reorder the terms: 4(-3 + 2x) + -1(x + 1) = 0 (-3 * 4 + 2x * 4) + -1(x + 1) = 0 (-12 + 8x) + -1(x + 1) = 0 Reorder the terms: -12 + 8x + -1(1 + x) = 0 -12 + 8x + (1 * -1 + x * -1) = 0 -12 + 8x + (-1 + -1x) = 0 Reorder the terms: -12 + -1 + 8x + -1x = 0 Combine like terms: -12 + -1 = -13 -13 + 8x + -1x = 0 Combine like terms: 8x + -1x = 7x -13 + 7x = 0 Solving -13 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 0 + 13 7x = 0 + 13 Combine like terms: 0 + 13 = 13 7x = 13 Divide each side by '7'. x = 1.857142857 Simplifying x = 1.857142857
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